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12003110012300 = 22521129199107837
BaseRepresentation
bin1010111010101011000100…
…0110111100010110001100
31120111111010101010002122012
42232222301012330112030
53033124332130343200
641310052544240352
72346124153460531
oct256526106742614
946444111102565
1012003110012300
113908543755100
12141a3493100b8
13690b71b11c54
142d6d4ca60d88
1515c365e95a35
hexaeab11bc58c

12003110012300 has 108 divisors (see below), whose sum is σ = 28633275165600. Its totient is φ = 4364252323200.

The previous prime is 12003110012249. The next prime is 12003110012357. The reversal of 12003110012300 is 321001130021.

12003110012300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111253982 + ... + 111361818.

It is an arithmetic number, because the mean of its divisors is an integer number (265122918200).

Almost surely, 212003110012300 is an apocalyptic number.

12003110012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003110012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316637582800).

12003110012300 is an abundant number, since it is smaller than the sum of its proper divisors (16630165153300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12003110012300 is a wasteful number, since it uses less digits than its factorization.

12003110012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117072 (or 117054 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12003110012300 its reverse (321001130021), we get a palindrome (12324111142321).

The spelling of 12003110012300 in words is "twelve trillion, three billion, one hundred ten million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 9199 12100 18398 36796 45995 91990 101189 107837 183980 202378 215674 229975 404756 431348 459950 505945 539185 919900 1011890 1078370 1113079 1186207 2023780 2156740 2226158 2372414 2529725 2695925 4452316 4744828 5059450 5391850 5565395 5931035 10118900 10783700 11130790 11862070 13048277 22261580 23724140 26096554 27826975 29655175 52193108 55653950 59310350 65241385 111307900 118620700 130482770 260965540 326206925 652413850 991992563 1304827700 1983985126 3967970252 4959962815 9919925630 10911918193 19839851260 21823836386 24799814075 43647672772 49599628150 54559590965 99199256300 109119181930 120031100123 218238363860 240062200246 272797954825 480124400492 545595909650 600155500615 1091191819300 1200311001230 2400622002460 3000777503075 6001555006150 12003110012300